Gun sound -- frequency analysis

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btb4198
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Small caliber guns have higher magnitude at higher frequencies and larger caliber guns have higher
magnitude at lower frequencies. is this true ? because I am not see this in my test:

Filled purple spectrum plot with frequency in Hz on the x-axis and level in dB on the y-axis, showing a broad hump around 1 to 4 kHz, sharp peaks near 1 kHz, and a steep roll-off above 10 kHz.


that is the fft of a 9MM gun,
As one can see there are low magnitudes at low frequencies and higher magnitudes at higher frequencies.
Also the peck frequencies are around 807 Hz. A 9MM handgun is a Small caliber gun.

Screenshot of Frequency Analysis software showing a purple filled spectrum plot, log frequency axis from 10 Hz to 20000 Hz, dB magnitude on the vertical axis; peaks cluster around 500 to 1000 Hz.


that is an fft of a larger caliber gun and the magnitudes are higher at high frequencies ...
am I missing something ?
 
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  • Frequency spectrum plot of a gunshot, magnitude in dB on the vertical axis against frequency in Hz on a logarithmic horizontal axis from about 1 Hz to 20000 Hz, filled purple. Levels are low below about 100 Hz, peak sharply near 800 to 1000 Hz, and taper off toward 20 kHz.
    upload_2017-1-1_13-46-6.png
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Can you set you software to RMS and then integrate on both sides of what you might call "low frequency"? That will get you the total energy at "high" and "low" frequencies. You can compare these pairs for different types of guns.

Scale all of them so one side is 1. The other number will give the answer you seek.

BoB
 
I am using audacity, but I am not sure what you mean by RMS

also is 804 not a low frequency ?
 
The spectrum can be scaled as dB which is a relative measure and also as RMS (yes Root Mean Square) which is an absolute value. There should be a setting somewhere in your software. You may need a different plugin.

As to 804Hz being low or high frequency that depends on what you are doing. My human perception would put it at middle or high frequency. (YouTube 804Hz for a sample)

BoB
 
ok there is this :
Frequency analysis plot in linear frequency scale showing a purple filled spectrum from 0 Hz to 22000 Hz, with amplitude in dB on the vertical axis, peaking at low frequencies and decaying toward high frequencies.


this is Linear frequency .
so what are the different between plotting it as Linear frequency vs Log frequency ?
 
this is the 9MM one again :
Screenshot of a Frequency Analysis window showing a purple spectrum plot with linear frequency axis from 0 Hz to 22000 Hz and amplitude in dB, peaking near 1000 Hz and decaying toward 18000 Hz.


but with Linear frequency
it looks the same as the other one
 
dB is a logarithmic scale so plotting both axes at the same scaling gives a better representation of the data. I don't know of the use of plotting X at a linear scale and Y and a logarithmic scale.

BoB
 
ok but do you know why it is not working ?
do you know another program I should try ?
 
Your program is working just fine. There is probably a way of analyzing the data as dB to get the answer you want. I just select the parameters I need on my oscilloscope and use the cursors for the frequency range needed. I am not familiar with using PC software for this work.

I'm afraid that is about all I know about this subject. Hopefully someone with more knowledge will come along to help further.

BoB
 
It is not the bore of the gun that decides the spectrum. It is the position of the microphone and the exit velocity of the projectile.

Supersonic ammunition will generate a shockwave that is a step function with relatively little low frequency energy. Lower velocity ammunition, or a muzzle brake, will generate a broad low frequency spectrum typical of a trapezoidal waveform.

High frequencies are steeply attenuated in air. The distance to the microphone will be critical.

Any echo will generate a frequency dependent interference pattern. How do you eliminate echoes from the microphone. Do not forget echoes from the ground.
 
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